901165140 has 108 divisors (see below), whose sum is σ = 2831519964. Its totient is φ = 231985152.

The previous prime is 901165129. The next prime is 901165159. The reversal of 901165140 is 41561109.

901165140 is a `hidden beast` number, since 9 + 0 + 1 + 1 + 651 + 4 + 0 = 666.

901165140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 132434064 + 768731076 = 11508^2 + 27726^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 148404 + ... + 154356.

Almost surely, 2^901165140 is an apocalyptic number.

901165140 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 901165140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415759982).

901165140 is an abundant number, since it is smaller than the sum of its proper divisors (1930354824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

901165140 is a wasteful number, since it uses less digits than its factorization.

901165140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6026 (or 5992 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 901165140 is about 30019.4127191056. The cubic root of 901165140 is about 965.9058457929.

The spelling of 901165140 in words is "nine hundred one million, one hundred sixty-five thousand, one hundred forty".